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We investigate hyperfine induced electron spin and entanglement dynamics in asystem of two quantum dot spin qubits. We focus on the situation of zeroexternal magnetic field and concentrate on approximation-free theoreticalmethods. We give an exact solution of the model for homogeneous hyperfinecoupling constants (with all coupling coefficients being equal) and varyingexchange coupling, and we derive the dynamics therefrom. After describing andexplaining the basic dynamical properties, the decoherence time is calculatedfrom the results of a detailed investigation of the short time electron spindynamics. The result turns out to be in good agreement with experimental data.

Hyperfine induced spin and entanglement dynamics in Double Quantum Dots: A homogeneous coupling approach